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Finding the Third Proportional to 434,897 and 899,627

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Solution

The third proportional to 434,897 and 899,627 is: 1,860,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,897 : 899,627 = 899,627 : x
  2. Step 2: Convert to fraction form
    434,897/899,627 = 899,627/x
  3. Step 3: Cross multiply
    434,897x = 899,627 × 899,627
  4. Step 4: Simplify right side
    434,897x = 809,328,739,129
  5. Step 5: Solve for x
    x = 809,328,739,129/434,897
  6. Step 6: Final answer
    x = 1,860,966.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.